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Finding the Fourth Proportional to 3,410.52, 5,114.46 and 1,330.26

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Solution

The fourth proportional to 3,410.52, 5,114.46 and 1,330.26 is: 1,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.52 : 5,114.46 = 1,330.26 : x
  2. Step 2: Convert to fraction form
    3,410.52/5,114.46 = 1,330.26/x
  3. Step 3: Cross multiply
    3,410.52x = 5,114.46 × 1,330.26
  4. Step 4: Simplify right side
    3,410.52x = 6,803,561.56
  5. Step 5: Solve for x
    x = 6,803,561.56/3,410.52
  6. Step 6: Final answer
    x = 1,994.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.